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85008157860 = 223537311912277
BaseRepresentation
bin100111100101011100…
…0011000110010100100
322010102100211212001010
41033022320120302210
52343044042022420
6103015135502220
76066403263633
oct1171270306244
9263370755033
1085008157860
113306298621a
1214585087970
13802988b932
144185d6151a
152327ed74e0
hex13cae18ca4

85008157860 has 96 divisors (see below), whose sum is σ = 244554186240. Its totient is φ = 22047303168.

The previous prime is 85008157831. The next prime is 85008157867. The reversal of 85008157860 is 6875180058.

It is not an unprimeable number, because it can be changed into a prime (85008157867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6918042 + ... + 6930318.

It is an arithmetic number, because the mean of its divisors is an integer number (2547439440).

Almost surely, 285008157860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85008157860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122277093120).

85008157860 is an abundant number, since it is smaller than the sum of its proper divisors (159546028380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85008157860 is a wasteful number, since it uses less digits than its factorization.

85008157860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15445 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 85008157860 in words is "eighty-five billion, eight million, one hundred fifty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 3119 6238 9357 12277 12476 15595 18714 24554 31190 36831 37428 46785 49108 61385 62380 73662 93570 115403 122770 147324 184155 187140 230806 245540 346209 368310 454249 461612 577015 692418 736620 908498 1154030 1362747 1384836 1731045 1816996 2271245 2308060 2725494 3462090 4542490 5450988 6813735 6924180 9084980 13627470 27254940 38291963 76583926 114875889 153167852 191459815 229751778 382919630 459503556 574379445 765839260 1148758890 1416802631 2297517780 2833605262 4250407893 5667210524 7084013155 8500815786 14168026310 17001631572 21252039465 28336052620 42504078930 85008157860